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marishachu [46]
3 years ago
8

Part 1: Joe and Hope were both asked to factor the following polynomial completely. Is one of them correct? Both of them? Neithe

r of them? Explain what each of them did was correct and/or incorrect.
Part 2:

Find all the values of k so the the quadratic expression factors into two binomials. Explain the process used to find the values.

3x^2 + kx - 8​

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
7 0
<h3>Part 1</h3>

If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.

<u>The first binomial can be further factored:</u>

  • 8x + 12 = 4(2x + 3)
<h3>Part 2</h3>

The quadratic expression needs to have two roots in order to be factored as two binomials.

<u>The discriminant must be positive or zero:</u>

  • D = b² - 4ac ≥ 0

We have a = 3, b = k, c = -8

<u>So we get following inequality:</u>

  • k² - 4*3*(-8) ≥ 0
  • k² + 96 ≥ 0

<u>Since k² is positive for any value of k, the solution is any value of k:</u>

  • k ∈ R
velikii [3]3 years ago
7 0

Hope this attachment helps you.

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The value of g in the 20 sided regular polygon is 54.

<h3>How to find the angles of a regular polygon?</h3>

If all the polygon sides and interior angles are equal, then they are known as regular polygons.

The polygon given is a 20 sided regular polygon and the measure of each angle is 3g degrees.

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learn more on regular polygon here: brainly.com/question/16992545

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